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Finding the Third Proportional to 64,374,003 and 137,952,357

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Solution

The third proportional to 64,374,003 and 137,952,357 is: 295,629,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,374,003 : 137,952,357 = 137,952,357 : x
  2. Step 2: Convert to fraction form
    64,374,003/137,952,357 = 137,952,357/x
  3. Step 3: Cross multiply
    64,374,003x = 137,952,357 × 137,952,357
  4. Step 4: Simplify right side
    64,374,003x = 19,030,852,801,855,448
  5. Step 5: Solve for x
    x = 19,030,852,801,855,448/64,374,003
  6. Step 6: Final answer
    x = 295,629,476.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.